Authors: A.W. Beckwith
The author presents the consequences of what if Gravitinos in the Electroweak era, all 10^8 to 10^12 of them have an (almost) invariant energy from the beginning of cosmology. This in turn may lead to massive Gravitons. This invariant energy constitutes an initial energy value at the start of the universe which can be used to obtain, at the onset of inflation Kauffman’s lower bound to a non zero initial radius of the universe. We reference Theorem 6.1.2 of the book by Ellis, Maartens, and MacCallum in order to argue that if there is a non zero initial scale factor, that there is a partial breakdown of the Fundamental Singularity theorem which is due to the Raychaudhuri equation. The arguments for why the scale factor may not go to zero are reviewed, with suggestions as to linkage as to how to avoid the Anthropic principle in having continuity of from a prior to the present universe. We also look at how different models of contributing vacuum energy, initially may affect divergence from the first singularity theorem and its results. This document implicitly uses Salvoy’s (1983) results
Comments: 5 Pages. sent for review as part of a small Prespacetime publication
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[v1] 2013-04-26 04:21:44
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